Resonant Robin problems driven by the $p$-Laplacian plus an indefinite potential

Abstract

We consider a nonlinear Robin problems driven by the $p$-Laplacian plus an indefinite potential. The reaction is resonant with respect to a variational eigenvalue. For the principal eigenvalue we assume strong resonance. Using variational tools and critical groups we prove existence and multiplicity theorems.

arXiv commentarXiv admin note: text overlap with arXiv:1704.08001, arXiv:1801.05623

Cited by in corpus (1)

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